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Finding the Fourth Proportional to 31,642.75, 43,665.69 and 18,214.48

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Solution

The fourth proportional to 31,642.75, 43,665.69 and 18,214.48 is: 25,135.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,642.75 : 43,665.69 = 18,214.48 : x
  2. Step 2: Convert to fraction form
    31,642.75/43,665.69 = 18,214.48/x
  3. Step 3: Cross multiply
    31,642.75x = 43,665.69 × 18,214.48
  4. Step 4: Simplify right side
    31,642.75x = 795,347,857.62
  5. Step 5: Solve for x
    x = 795,347,857.62/31,642.75
  6. Step 6: Final answer
    x = 25,135.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.